where \(T^k_{ij} = -T^k_{ji}\) . Note that our \(T^k_{ij}\)  is twice of that in [1]}. Also write \(R_{i\overline{j}k\overline{\ell }}\)  for \(R_{e_i\overline{e}_je_k\overline{e}_{\ell }}\) . By definition, the holomorphic sectional curvature \(H\)  of \(R\)  is equal to a constant \(c\)  if and only if
\( R_{X\overline{X}X\overline{X}} = c |X|^4 \) 
